Answer:
D
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
= (2 - 0) / (0 - (-3)
= 2/3
Y intercept 2
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
Answer:
y < x
y < 4
Step-by-step explanation:
Dotted line means < or >, and since the shaded region is below the lines y = 4 and y = x, the answer is A.
Step-by-step explanation:
16 data points.
the mean value is the sum of all data points divided by the number of data points :
13896/16 = 868.5
the median is the data point with half of the other data points being smaller and the other half being bigger.
as we have an even number of data points, we need to apply the extra rule :
the median is the mean value between the 2 middle points (where one half of the other data points is smaller than these 2, and the other half is bigger than these 2).
in our case we have 138 and 240.
the mean value between these 2 and therefore the median of the list is
(138 + 240)/2 = 378/2 = 189
Answer:45
Step-by-step explanation:
Any number raised to the 0 power equals 1. So, 5 x 10^0 is the the same as (5x1)x(9x1)
5x1=5 9x1=9 5x9=45
